Formality Theory From Poisson Structures to Deformation Quantization /

This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Esposito, Chiara (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
Σειρά:SpringerBriefs in Mathematical Physics, 2
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Formality Theory  |h [electronic resource] :  |b From Poisson Structures to Deformation Quantization /  |c by Chiara Esposito. 
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505 0 |a Introduction -- Classical mechanics and Poisson structures -- Deformation quantization and formality theory -- Kontsevich’s Formula and Globalization -- Appendix -- Vector bundles -- Cohomology -- Index. 
520 |a This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory of Poisson manifolds, star products and their classification, deformations of associative algebras and the formality theorem. Readers will also be familiarized with the relevant physical motivations underlying the purely mathematical construction. 
650 0 |a Physics. 
650 0 |a Functional analysis. 
650 0 |a Mathematical physics. 
650 0 |a Quantum field theory. 
650 0 |a String theory. 
650 1 4 |a Physics. 
650 2 4 |a Quantum Field Theories, String Theory. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Functional Analysis. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319092898 
830 0 |a SpringerBriefs in Mathematical Physics,  |x 2197-1757 ;  |v 2 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-09290-4  |z Full Text via HEAL-Link 
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950 |a Physics and Astronomy (Springer-11651)